Quick Answer
Calculate Supply Chain Bullwhip Effect Amplification Index Calculator
Calculator
Result Interpretation
Supply Chain Bullwhip Effect Amplification Index Calculator computes Bullwhip Effect Amplification Index in 1 using the defined engineering formula and the input values provided.
Worked Example
Verified calculation
Given:
- Order batching factor (dimensionless) = 0.25
- Upstream lead time = 14
- Variance of end-customer demand = 400
- Variance of upstream order quantities = 2500
- Downstream lead time = 3
Expected Result:
- Bullwhip Effect Amplification Index = 36.458333333333
Engineering Interpretation:
Under the given input conditions, the calculated result is: Bullwhip Effect Amplification Index = 36.458333333333.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
bullwhip effect amplification index = sqrt(pow(variance of upstream order quantities, 2) / pow(variance of end-customer demand, 2)) * (upstream lead time / downstream lead time) * (1 + dimensionless)Formula family: formula_operations_supply_chain_bullwhip_effect_amplification_index_calculator
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| variance_upstream_orders | Variance of upstream order quantities | INPUT | Variance of upstream order quantities |
| variance_customer_demand | Variance of end-customer demand | INPUT | Variance of end-customer demand |
| lead_time_upstream_days | Upstream lead time | INPUT | Upstream lead time |
| lead_time_downstream_days | Downstream lead time | INPUT | Downstream lead time |
| order_batching_factor | Order batching factor (dimensionless) | INPUT | Order batching factor (dimensionless) |
| bullwhip_effect_amplification_index | Bullwhip Effect Amplification Index | OUTPUT | Bullwhip Effect Amplification Index |
Calculation Steps
- Enter the variance of upstream order quantities in units^2.
- Enter the variance of end-customer demand in units^2.
- Enter the upstream lead time in days.
- Enter the downstream lead time in days.
- Enter the order batching factor (dimensionless) in 1.
- Step 1: Compute bullwhip effect amplification index.
- Read the bullwhip effect amplification index (1) from the results.
Engineering Summary
Calculate Supply Chain Bullwhip Effect Amplification Index Calculator
Frequently Asked Questions
What does this calculator calculate?
The Supply Chain Bullwhip Effect Amplification Index Calculator estimates Bullwhip Effect Amplification Index based on the input parameters you provide
Why is variance of upstream order quantities important in this calculation?
variance of upstream order quantities is directly proportional to bullwhip effect amplification index. When you enter variance of upstream order quantities in units^2, the calculator uses it in the engineering formula to compute the output
How should I interpret the result bullwhip effect amplification index?
The calculator outputs bullwhip effect amplification index. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Variance of upstream order quantities (units^2), Variance of end-customer demand (units^2), Upstream lead time (days), Downstream lead time (days). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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